Non-Markovian State-Dependent Networks in Critical Loading
DOI10.1080/15326349.2014.964414zbMath1319.60175arXiv1212.4078OpenAlexW2117418957MaRDI QIDQ4981885
Chihoon Lee, Anatolii A. Puhalskii
Publication date: 20 March 2015
Published in: Stochastic Models (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1212.4078
weak convergencediffusion approximationstate-dependent networkscritical loadingnon-Markovian networkssingle class queueing network
Central limit and other weak theorems (60F05) Stochastic network models in operations research (90B15) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Functional limit theorems; invariance principles (60F17) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)
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Cites Work
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- A functional central limit theorem for weakly dependent sequences of random variables
- Queues with service times and interarrival times depending linearly and randomly upon waiting times
- Martingale proofs of many-server heavy-traffic limits for Markovian queues
- Invariance principles under weak dependence
- Reflected Brownian motion on an orthant
- Strong approximation for Markovian service networks
- State-dependent stochastic networks. I: Approximation and applications with continuous diffusion limits
- Diffusion approximation for open state-dependent queueing networks in the heavy traffic situation
- SDEs with oblique reflection on nonsmooth domains
- Finite-buffer queues with workload-dependent service and arrival rates
- Discrete Evolutionary Birth-Death Processes and Their Large Population Limits
- Open Queueing Networks in Heavy Traffic
- Asymptotic analysis of queueingnetworks
- On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
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